Cremona's table of elliptic curves

3990 = 2 · 3 · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+ 19+	Signs for the Atkin-Lehner involutions
Class	3990w	Isogeny class
Conductor	3990	Conductor
∏ cp	280	Product of Tamagawa factors cp
Δ	-11937345840000 = -1 · 27 · 310 · 54 · 7 · 192	Discriminant
Eigenvalues	2- 3- 5+ 7+ -2 -2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,2374,160356]	[a1,a2,a3,a4,a6]
Generators	[88:-1070:1]	Generators of the group modulo torsion
j	1479634409024351/11937345840000	j-invariant
L	5.610008629805	L(r)(E,1)/r!
Ω	0.52162608568913	Real period
R	0.15364066833411	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31920bc2 127680bc2 11970w2 19950d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990w2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	+	-2	-2	0	+	-4	-6	-6	-8	-6	0	10	6	-4	-2	-10	0	-2	8	8	-6	8

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Quadratic twists for elliptic curve 3990w2

-4	8	-3	5	-7	-19
31920bc2	127680bc2	11970w2	19950d2	27930ct2	75810e2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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